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Three qubits can be entangled in two inequivalent ways

Invertible local transformations of a multipartite system are used to define equivalence classes in the set of entangled states. This classification concerns the entanglement properties of a single… Expand

Efficient classical simulation of slightly entangled quantum computations.

- G. Vidal
- Physics, Medicine
- Physical review letters
- 15 January 2003

We present a classical protocol to efficiently simulate any pure-state quantum computation that involves only a restricted amount of entanglement. More generally, we show how to classically simulate… Expand

Computable measure of entanglement

We present a measure of entanglement that can be computed effectively for any mixed state of an arbitrary bipartite system. We show that it does not increase under local manipulations of the system,… Expand

Efficient simulation of one-dimensional quantum many-body systems.

- G. Vidal
- Computer Science, Physics
- Physical review letters
- 14 October 2003

TLDR

Class of quantum many-body states that can be efficiently simulated.

- G. Vidal
- Physics, Medicine
- Physical review letters
- 12 October 2006

We introduce the multiscale entanglement renormalization ansatz, a class of quantum many-body states on a D-dimensional lattice that can be efficiently simulated with a classical computer, in that… Expand

Entanglement renormalization.

- G. Vidal
- Physics, Medicine
- Physical review letters
- 8 December 2005

We propose a real-space renormalization group (RG) transformation for quantum systems on a D-dimensional lattice. The transformation partially disentangles a block of sites before coarse-graining it… Expand

Entanglement in quantum critical phenomena.

- G. Vidal, J. Latorre, E. Rico, A. Kitaev
- Physics, Medicine
- Physical review letters
- 13 November 2002

Entanglement, one of the most intriguing features of quantum theory and a main resource in quantum information science, is expected to play a crucial role also in the study of quantum phase… Expand

Robustness of entanglement

- G. Vidal, R. Tarrach
- Physics
- 29 June 1998

In the quest to completely describe entanglement in the general case of a finite number of parties sharing a physical system of finite-dimensional Hilbert space an entanglement magnitude is… Expand

Classical simulation of quantum many-body systems with a tree tensor network

We show how to efficiently simulate a quantum many-body system with tree structure when its entanglement (Schmidt number) is small for any bipartite split along an edge of the tree. As an… Expand

Mixed-state dynamics in one-dimensional quantum lattice systems: a time-dependent superoperator renormalization algorithm.

We present an algorithm to study mixed-state dynamics in one-dimensional quantum lattice systems. The algorithm can be used, e.g., to construct thermal states or to simulate real time evolution given… Expand

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